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Finding the Fourth Proportional to 10,214.11, 14,097 and 6,237.52

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Solution

The fourth proportional to 10,214.11, 14,097 and 6,237.52 is: 8,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.11 : 14,097 = 6,237.52 : x
  2. Step 2: Convert to fraction form
    10,214.11/14,097 = 6,237.52/x
  3. Step 3: Cross multiply
    10,214.11x = 14,097 × 6,237.52
  4. Step 4: Simplify right side
    10,214.11x = 87,930,319.44
  5. Step 5: Solve for x
    x = 87,930,319.44/10,214.11
  6. Step 6: Final answer
    x = 8,608.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.